Initial Pressure using Integrated Form of Clausius-Clapeyron Equation Calculator

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Clausius-Clapeyron Equation

Depression in Freezing Point

Elevation in Boiling Point

Gibb's Phase Rule

Immiscible Liquids

Important Formulas of Clausius-Clapeyron Equation

Important Formulas of Colligative Properties

Osmotic Pressure

Relative Lowering of Vapour Pressure

Van't Hoff Factor

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Slope of Coexistence Curve

Latent Heat

✖Final Pressure of System is the total final pressure exerted by the molecules inside the system.ⓘ Final Pressure of System [P_f]			+10% -10%
✖Latent Heat is the heat that increases the specific humidity without a change in temperature.ⓘ Latent Heat [LH]			+10% -10%
✖The Final temperature is the temperature at which measurements are made in final state.ⓘ Final Temperature [T_f]			+10% -10%
✖The Initial temperature is defined as the measure of heat under initial state or conditions.ⓘ Initial Temperature [T_o]			+10% -10%

✖Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.ⓘ Initial Pressure using Integrated Form of Clausius-Clapeyron Equation [P_i]

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Formula

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Initial Pressure using Integrated Form of Clausius-Clapeyron Equation

Formula

`"P"_{"i"} = "P"_{"f"}/(exp(-("LH"*((1/"T"_{"f"})-(1/"T"_{"o"})))/"[R]"))`

Example

`"3.876349Pa"="18.43Pa"/(exp(-("1000J"*((1/"27K")-(1/"20K")))/"[R]"))`

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Initial Pressure using Integrated Form of Clausius-Clapeyron Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Pressure of System = Final Pressure of System/(exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))
P_i = P_f/(exp(-(LH*((1/T_f)-(1/T_o)))/[R]))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Initial Pressure of System - (Measured in Pascal) - Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.
Final Pressure of System - (Measured in Pascal) - Final Pressure of System is the total final pressure exerted by the molecules inside the system.
Latent Heat - (Measured in Joule) - Latent Heat is the heat that increases the specific humidity without a change in temperature.
Final Temperature - (Measured in Kelvin) - The Final temperature is the temperature at which measurements are made in final state.
Initial Temperature - (Measured in Kelvin) - The Initial temperature is defined as the measure of heat under initial state or conditions.

STEP 1: Convert Input(s) to Base Unit

Final Pressure of System: 18.43 Pascal --> 18.43 Pascal No Conversion Required
Latent Heat: 1000 Joule --> 1000 Joule No Conversion Required
Final Temperature: 27 Kelvin --> 27 Kelvin No Conversion Required
Initial Temperature: 20 Kelvin --> 20 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_i = P_f/(exp(-(LH*((1/T_f)-(1/T_o)))/[R])) --> 18.43/(exp(-(1000*((1/27)-(1/20)))/[R]))

Evaluating ... ...

P_i = 3.8763488315332

STEP 3: Convert Result to Output's Unit

3.8763488315332 Pascal --> No Conversion Required

FINAL ANSWER

3.8763488315332 ≈ 3.876349 Pascal <-- Initial Pressure of System

(Calculation completed in 00.004 seconds)

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Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< 20 Clausius-Clapeyron Equation Calculators

Specific Latent Heat using Integrated Form of Clausius-Clapeyron Equation

Go Specific Latent Heat = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/(((1/Final Temperature)-(1/Initial Temperature))*Molecular Weight)

Enthalpy using Integrated Form of Clausius-Clapeyron Equation

Go Change in Enthalpy = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/((1/Final Temperature)-(1/Initial Temperature))

Initial Pressure using Integrated Form of Clausius-Clapeyron Equation

Go Initial Pressure of System = Final Pressure of System/(exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))

Final Pressure using Integrated Form of Clausius-Clapeyron Equation

Go Final Pressure of System = (exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))*Initial Pressure of System

Final Temperature using Integrated Form of Clausius-Clapeyron Equation

Go Final Temperature = 1/((-(ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Initial Temperature))

Initial Temperature using Integrated Form of Clausius-Clapeyron Equation

Go Initial Temperature = 1/(((ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Final Temperature))

Change in Pressure using Clausius Equation

Go Change in Pressure = (Change in Temperature*Molal Heat of Vaporization)/((Molar Volume-Molal Liquid Volume)*Absolute Temperature)

Temperature in Evaporation of Water near Standard Temperature and Pressure

Go Temperature = sqrt((Specific Latent Heat*Saturation Vapor Pressure)/(Slope of Co-existence Curve of Water Vapor*[R]))

Ratio of Vapour Pressure using Integrated Form of Clausius-Clapeyron Equation

Go Ratio of Vapor Pressure = exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R])

Specific Latent Heat of Evaporation of Water near Standard Temperature and Pressure

Go Specific Latent Heat = (Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure

Saturation Vapor Pressure near Standard Temperature and Pressure

Go Saturation Vapor Pressure = (Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Specific Latent Heat

Temperature for Transitions

Go Temperature = -Latent Heat/((ln(Pressure)-Integration Constant)*[R])

Pressure for Transitions between Gas and Condensed Phase

Go Pressure = exp(-Latent Heat/([R]*Temperature))+Integration Constant

August Roche Magnus Formula

Go Saturation Vapour Pressure = 6.1094*exp((17.625*Temperature)/(Temperature+243.04))

Entropy of Vaporization using Trouton's Rule

Go Entropy = (4.5*[R])+([R]*ln(Temperature))

Boiling Point using Trouton's Rule given Specific Latent Heat

Go Boiling Point = (Specific Latent Heat*Molecular Weight)/(10.5*[R])

Specific Latent Heat using Trouton's Rule

Go Specific Latent Heat = (Boiling Point*10.5*[R])/Molecular Weight

Boiling Point using Trouton's Rule given Latent Heat

Go Boiling Point = Latent Heat/(10.5*[R])

Boiling Point given Enthalpy using Trouton's Rule

Go Boiling Point = Enthalpy/(10.5*[R])

Enthalpy of Vaporization using Trouton's Rule

Go Enthalpy = Boiling Point*10.5*[R]

Initial Pressure using Integrated Form of Clausius-Clapeyron Equation Formula

Initial Pressure of System = Final Pressure of System/(exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))
P_i = P_f/(exp(-(LH*((1/T_f)-(1/T_o)))/[R]))

What is the Clausius–Clapeyron relation?

The Clausius–Clapeyron relation, named after Rudolf Clausius and Benoît Paul Émile Clapeyron, is a way of characterizing a discontinuous phase transition between two phases of matter of a single constituent. On a pressure–temperature (P–T) diagram, the line separating the two phases is known as the coexistence curve. The Clausius–Clapeyron relation gives the slope of the tangents to this curve.

How to Calculate Initial Pressure using Integrated Form of Clausius-Clapeyron Equation?

Initial Pressure using Integrated Form of Clausius-Clapeyron Equation calculator uses Initial Pressure of System = Final Pressure of System/(exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R])) to calculate the Initial Pressure of System, The Initial Pressure using integrated form of Clausius-Clapeyron Equation is the initial state pressure of the system. Initial Pressure of System is denoted by P_i symbol.

How to calculate Initial Pressure using Integrated Form of Clausius-Clapeyron Equation using this online calculator? To use this online calculator for Initial Pressure using Integrated Form of Clausius-Clapeyron Equation, enter Final Pressure of System (P_f), Latent Heat (LH), Final Temperature (T_f) & Initial Temperature (T_o) and hit the calculate button. Here is how the Initial Pressure using Integrated Form of Clausius-Clapeyron Equation calculation can be explained with given input values -> 3.876349 = 18.43/(exp(-(1000*((1/27)-(1/20)))/[R])).

FAQ

What is Initial Pressure using Integrated Form of Clausius-Clapeyron Equation?

The Initial Pressure using integrated form of Clausius-Clapeyron Equation is the initial state pressure of the system and is represented as P_i = P_f/(exp(-(LH*((1/T_f)-(1/T_o)))/[R])) or Initial Pressure of System = Final Pressure of System/(exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R])). Final Pressure of System is the total final pressure exerted by the molecules inside the system, Latent Heat is the heat that increases the specific humidity without a change in temperature, The Final temperature is the temperature at which measurements are made in final state & The Initial temperature is defined as the measure of heat under initial state or conditions.

How to calculate Initial Pressure using Integrated Form of Clausius-Clapeyron Equation?

The Initial Pressure using integrated form of Clausius-Clapeyron Equation is the initial state pressure of the system is calculated using Initial Pressure of System = Final Pressure of System/(exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R])). To calculate Initial Pressure using Integrated Form of Clausius-Clapeyron Equation, you need Final Pressure of System (P_f), Latent Heat (LH), Final Temperature (T_f) & Initial Temperature (T_o). With our tool, you need to enter the respective value for Final Pressure of System, Latent Heat, Final Temperature & Initial Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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